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Hamiltonian systems : chaos and quantization / Alfredo M. Ozorio de Almeida.

By: Material type: TextTextLanguage: English Original language: Portuguese Series: Cambridge monographs on mathematical physicsPublisher: Cambridge : Cambridge University Press, 1988Description: 1 online resource (ix, 238 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511564161 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 530.1/3 19
LOC classification:
  • QC174.85.H35 O96 1988
Online resources: Summary: This introduction to the theory of Hamiltonian chaos outlines the main results in the field, and goes on to consider implications for quantum mechanics. The study of nonlinear dynamics, and in particular of chaotic systems, is one of the fastest growing and most productive areas in physics and applied mathematics. In its first six chapters, this timely book introduces the theory of classical Hamiltonian systems. The aim is not to be comprehensive but, rather, to provide a mathematical trunk from which the reader will be able to branch out. The main focus is on periodic orbits and their neighbourhood, as this approach is especially suitable as an introduction to the implications of the theory of chaos in quantum mechanics, which are discussed in the last three chapters.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This introduction to the theory of Hamiltonian chaos outlines the main results in the field, and goes on to consider implications for quantum mechanics. The study of nonlinear dynamics, and in particular of chaotic systems, is one of the fastest growing and most productive areas in physics and applied mathematics. In its first six chapters, this timely book introduces the theory of classical Hamiltonian systems. The aim is not to be comprehensive but, rather, to provide a mathematical trunk from which the reader will be able to branch out. The main focus is on periodic orbits and their neighbourhood, as this approach is especially suitable as an introduction to the implications of the theory of chaos in quantum mechanics, which are discussed in the last three chapters.

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